integration

Integration is the inverse operation of differentiation. A function $F(x)$ is an anti-derivative (a.k.a. integral) of a function $f(x)$ if $F^{\prime }(x)=f(x)$ for all $x$ in the domain of $f$.

The form of an integral of $f(x)$ with respect to $x$ is: $\int f(x)dx=F(x)+C$ where $x$ is the variable of integration, $f(x)$ is the integrand, and $C$ is the constant of integration.